Anisotropic thermo-elasticity in 2D. Part I: A unified treatment

Article type: Research Article

Authors: Reissig, Michael | Wirth, Jens^;

Affiliations: Institut für Angewandte Analysis, Fakultät für Mathematik und Informatik, TU Bergakademie Freiberg, Prüferstraße 9, 09596 Freiberg, Germany

Note: [] Corresponding author: E-mail: [email protected]

Note: [] Current address: Department of Mathematics, Imperial College, London SW7 2AZ, UK.

Abstract: In this note we develop tools and techniques for the treatment of anisotropic thermo-elasticity in two space dimensions. We use a diagonalisation technique to obtain properties of the characteristic roots of the full symbol of the system in order to prove Lp–Lq decay rates for its solutions.

Keywords: thermo-elasticity, a-priori estimates, anisotropic media

DOI: 10.3233/ASY-2008-0863

Journal: Asymptotic Analysis, vol. 57, no. 1-2, pp. 1-27, 2008